# Tutor.com Patterns Session

##### Dec. 21, 2012

Session Transcript - Math - Middle Grades, 12/4/2012 7:58PM - Tutor.comSession Date: 12/4/2012 7:58PM
Length: 26.4 minute(s)
Subject: Math - Middle Grades

System Message
[00:00:00] *** Please note: All sessions are recorded for quality control. ***

Arianna (Customer)
[00:00:03] A number is divided by 5. Then 3 is added to the quotient. After subtracting 10, the result is 30. What us the number?

Scott M (Tutor)
[00:00:12] Welcome to Tutor.com
[00:00:29] can you show me what you have done so far on this please?
[00:01:32] okay, that's a good try, but there are more variables involved.
[00:01:45] have you worked with variables at all?

Arianna (Customer)
[00:02:00] I have no clue

Scott M (Tutor)
[00:02:10] well, a variable is an unknown quantity, like x.
[00:02:17] does that sound familiar at all?

Arianna (Customer)
[00:02:33] Yes

Scott M (Tutor)
[00:02:34] okay, good
[00:02:53] So, in this problem we can denote the unknown quantity by x.

Arianna (Customer)
[00:03:15] ok

Scott M (Tutor)
[00:03:24] so, when they say "a number is divided by 5" how could you show that using the x?
[00:04:04] use the x to represent the number that is being divided by 5. How would that look?
[00:04:25] Excellent!
[00:04:44] we are going to have to write smaller so we can fit everything in. But, you are correct. Good job.
[00:05:11] Then 3 is added to the quotient.
[00:05:18] what does that mean to you?
[00:05:38] very good
[00:05:43] but, that's not quite done yet
[00:05:59] after adding 3 to the quotient, they have one more thing that they do
[00:06:36] they then subtract 10. So, you just need to subtract 10 from what you have to the left of the =

Arianna (Customer)
[00:07:26] I'm lost now

Scott M (Tutor)
[00:07:34] okay, well you are correct up through the point of x/5 + 3
[00:07:42] does that part make sense to you?

Arianna (Customer)
[00:08:03] Yes

Scott M (Tutor)
[00:08:08] it is a multi step problem, so you just keep adding things to it as you read through it.
[00:08:18] so, then next they say that 10 is subtracted
[00:08:33] which means you subtract 10 from what you already have
[00:08:39] does that make sense?

Arianna (Customer)
[00:09:11] Would that be -18?

Scott M (Tutor)
[00:09:16] well, we have to figure out what x is.
[00:09:26] but, we don't have the whole problem written down yet.
[00:09:51] subtract 10 from what's already on the board..

Arianna (Customer)
[00:10:35] 2?

Scott M (Tutor)
[00:10:45] what I just wrote, does it make sense?
[00:10:53] subtracting 10 from what we had?

Arianna (Customer)
[00:11:24] Okay

Scott M (Tutor)
[00:11:22] great
[00:11:34] and, what do they say all that is equal to?

Arianna (Customer)
[00:12:20] It says the result is 30

Scott M (Tutor)
[00:12:31] Yes, good job. So, then we want to set that equal to 30.
[00:12:48] does everything make sense so far?

Arianna (Customer)
[00:13:39] yes

Scott M (Tutor)
[00:13:33] we haven't solved anything yet, but setting it up is the most important part.
[00:13:46] Now, do you understand how to solve a problem like this?

Arianna (Customer)
[00:14:06] No

Scott M (Tutor)
[00:14:17] okay. So, you haven't done anything like this yet in class?

Arianna (Customer)
[00:14:46] I have to work backwards.

Scott M (Tutor)
[00:14:51] are you in algebra?

Arianna (Customer)
[00:15:58] No

Scott M (Tutor)
[00:16:25] the way this type of problem is usually solved is you get all the numbers to one side of the equal sign.
[00:16:42] So, for example, we can add 10 to both sides of the equation. Like this:
[00:17:13] did that make sense?

Arianna (Customer)
[00:18:30] So far yes

Scott M (Tutor)
[00:18:31] excellent
[00:18:47] then we can subtract 3 from both sides. Do you want to try that?

Arianna (Customer)
[00:19:28] 37

Scott M (Tutor)
[00:19:36] and, what is on the left side?

Arianna (Customer)
[00:20:06] X/5

Scott M (Tutor)
[00:20:04] Yes, very good.
[00:21:17] and, then what is next?

Arianna (Customer)
[00:21:50] 37/5

Scott M (Tutor)
[00:22:03] well, if x/5 is 37, then x must be a pretty big number, right?
[00:22:33] what math operation do you think you would need to do to both sides to cancel that 5 out of the denominator on the left?

Arianna (Customer)
[00:22:40] Yes
[00:23:00] x

Scott M (Tutor)
[00:23:00] Yes, multiply by 5. Excellent!

Arianna (Customer)
[00:23:23] 185

Scott M (Tutor)
[00:23:29] You got it! Great Job!
[00:23:36] 185 is what I got also.
[00:23:46] does it make sense to you?

Arianna (Customer)
[00:24:15] yes

Scott M (Tutor)
[00:24:22] I always like to hear that.
[00:24:32] You did a great job. Thanks for your patience.

Arianna (Customer)
[00:24:58] you're welcome

Scott M (Tutor)
[00:24:56] Do you have any questions about anything we went over today?

Arianna (Customer)
[00:25:21] No

Scott M (Tutor)
[00:25:21] Thanks for using Tutor.com.Â Please fill out the survey as you leave so we can learn how we can better help you in the future!Â
[00:25:30] Have a great evening!

Arianna (Customer)
[00:26:13] okay you too!

Scott M (Tutor)
[00:26:17] thanks. Good night.